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a(n) is the total multiplicity of all products of Schur functions s(lambda)*s(mu) with size(lambda) + size(mu) = n.
2

%I #20 Dec 23 2017 05:03:50

%S 1,2,6,14,34,74,164,342,714,1442,2894,5686,11096,21322,40688

%N a(n) is the total multiplicity of all products of Schur functions s(lambda)*s(mu) with size(lambda) + size(mu) = n.

%C Equals 2*A296624 - aerated version of A296625, so s(lambda)*s(mu) is counted again as s(mu)*s(lambda) if mu <> lambda. The aerated version of A296625 reads as 1, 0, 2, 0, 6, 0, 16, 0, 42, 0, 106, 0, ...

%Y For a program see A296624 and A296625.

%K nonn,hard,more

%O 0,2

%A _Wouter Meeussen_, Dec 17 2017